A train travelling at a uniform speed of 36 km/h} completely crosses a platform in 50 seconds.
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A train travelling at a uniform speed of $36\text{ km/h}$ completely crosses a platform in 50 seconds. If the length of the platform is equal to the length of the train, find the length of the platform.
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Answer: A. 250 metres
Speed = 36 km/h = 10 m/s. In 50 s, distance is 10 * 50 = 500 m. Since train and platform have equal length L, 2L = 500 m => L = 250 m.
Step-by-step Derivation:
Step 1: Convert speed: 36 * (5/18) = 10 m/s.
Step 2: Total distance covered = Speed * Time = 10 * 50 = 500 metres.
Step 3: Total distance = Length of train + Length of platform = L + L = 2L.
Step 4: 2L = 500 => L = 250 metres.